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2_false-position-method.cpp
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2_false-position-method.cpp
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#include <bits/stdc++.h>
using namespace std;
class False_Position_Method {
private:
double epsilon = 0.0001;
double lower, upper, root, previous_root = 1000;
double generate() { //to generate random number between 0 - 9
srand((int)time(0));
return (rand() % 10);
}
double function(double x) {
// return x*x*x + x*x - 1; //0.7548
return x*x*x - x - 1; //1.32474
}
public:
void find_root() {
while(true) {
lower = -9 + generate();
upper = generate();
if (function(lower) * function(upper) < 0.0)
break;
}
while(true) {
root = (lower*function(upper) - upper*function(lower)) / (function(upper) - function(lower));
double condition = function(root) * function(lower);
if (condition < 0.0)
upper = root;
else if (condition > 0.0)
lower = root;
else
break;
if (abs((root - previous_root) / root) < epsilon)
break;
previous_root = root;
}
cout << "The root is " << root << "\n";
}
};
int main() {
False_Position_Method fpm;
fpm.find_root();
return 0;
}